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math.AP2024
Excess decay for quasilinear equations in the Heisenberg group and consequences
Arka Mallick, Swarnendu Sil
We study regularity results for the solutions of quasilinear subelliptic -Laplace type equation in Heisenberg groups. We prove somewhat surprising excess decay estimates for the…
math.AP2024
Morrey-Lorentz estimates for Hodge-type systems
Banhirup Sengupta, Swarnendu Sil
We prove up to the boundary regularity estimates in Morrey-Lorentz spaces for weak solutions of the linear system of differential forms with regular anisotropic coefficients \begin…
math.DG2024
Topology and approximation of weak -bundles in the supercritical dimensions
Swarnendu Sil
For analyzing stationary Yang-Mills connections in higher dimensions, one has to work with Morrey-Sobolev bundles and connections. The transition maps for a Morrey-Sobolev principa…